The Reduced Row Echelon Form :

A matrix is in reduced row echelon form (also called row canonical form) if it satisfies the following conditions:

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• It is in row echelon form.
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• Every leading coefficient is 1 and is the only nonzero entry in its column.
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The reduced row echelon form of a matrix may be computed by gauss - jagjon elimination. Unlike the row echelon form, the reduced row echelon form of a matrix is unique and does not depend on the algorithm used to compute it.

This is an example of a matrix in reduced row echelon form:

Note that this does not always mean that the left of the matrix will be an identity matrix, as shows below.

d).

Therefore, the reduced row echelon form of the given matrix is .

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